3. interpret the p - value in the context of ...
3. interpret the p - value in the context of the scenario below. claim: the proportion of marriages that ended in divorce for a particular city is less than 46%, the national divorce rate. in a sample of 850 marriages, 389 ended in divorce. the p - value for the test was.14 and α =.10
Answer
# Brief Explanations:
The p - value is the probability of obtaining a result as extreme or more extreme than the one observed, assuming the null hypothesis is true. Here, the null hypothesis would likely be that the proportion of marriages ending in divorce in the city is equal to or greater than 46%. With a p - value of 0.14 and a significance level (α) of 0.10, since the p - value is greater than α, we do not have enough evidence to reject the null hypothesis. In the context of the scenario, there is not sufficient evidence to support the claim that the proportion of marriages ending in divorce in the particular city is less than 46%.
# Answer:
There is not sufficient evidence to support the claim that the proportion of marriages ending in divorce in the particular city is less than 46% as the p - value (0.14) is greater than the significance level (α = 0.10).